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jenyasd209 [6]
3 years ago
10

The first term of an arithmetic sequence is 4 and the tenth term is 67.

Mathematics
1 answer:
serg [7]3 years ago
8 0

Answer:

d = 7

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Give a₁₀ = 67 and a₁ = 4 , then

a₁ + 9d = 67

4 + 9d = 67 ( subtract 4 from both sides )

9d = 63 ( divide both sides by 9 )

d = 7

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           \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

       <em>Evaluate 1/4c+3d when c=6, and d=7.</em>

<em />

<em>         </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

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\bigstar On further simplification,

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\bigstar On further simplification,

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\Large\text{$\displaystyle\frac{45}{2}$}

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